What is the Greatest Common Factor of 58072 and 58089?

Greatest common factor (GCF) of 58072 and 58089 is 17.

GCF(58072,58089) = 17

We will now calculate the prime factors of 58072 and 58089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58072 and 58089.

How to find the GCF of 58072 and 58089?

We will first find the prime factorization of 58072 and 58089. After we will calculate the factors of 58072 and 58089 and find the biggest common factor number .

Step-1: Prime Factorization of 58072

Prime factors of 58072 are 2, 7, 17, 61. Prime factorization of 58072 in exponential form is:

58072 = 2³ × 7¹ × 17¹ × 61¹

Step-2: Prime Factorization of 58089

Prime factors of 58089 are 3, 17, 67. Prime factorization of 58089 in exponential form is:

58089 = 3¹ × 17² × 67¹

Step-3: Factors of 58072

List of positive integer factors of 58072 that divides 58072 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 61, 68, 119, 122, 136, 238, 244, 427, 476, 488, 854, 952, 1037, 1708, 2074, 3416, 4148, 7259, 8296, 14518, 29036

Step-4: Factors of 58089

List of positive integer factors of 58089 that divides 58072 without a remainder.

1, 3, 17, 51, 67, 201, 289, 867, 1139, 3417, 19363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58072 and 58089. The biggest common factor number is the GCF number.
So the greatest common factor 58072 and 58089 is 17.

Also check out the Least Common Multiple of 58072 and 58089